Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

305×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.5b	(/ (* x (- y z)) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

22.0ms	(* x (- y z))
15.0ms	(/ (* x (- y z)) y)

series85.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
47.0ms	(/ (* x (- y z)) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune80.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.1b	(* x (/ (- y z) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

15.0ms	(/ (- y z) y)
26.0ms	(* x (/ (- y z) y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- y z) y)
51.0ms	(* x (/ (- y z) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune341.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.1b	(* x (* 1 (- 1 (/ z y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube`
5×	`prod-exp`
4×	`sub-neg` `associate-*r/`
3×	`associate-l` `pow-prod-down` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`flip3--` `1-exp` `associate-r` `*-commutative` `flip--` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

52.0ms

(* x (* 1 (- 1 (/ z y))))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* x (* 1 (- 1 (/ z y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	167	143
1	699	121
2	2107	121
3	5001	121

prune44.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.1b	(/ x (/ y (- y z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

11.0ms	(/ y (- y z))
18.0ms	(/ x (/ y (- y z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- y z))
48.0ms	(/ x (/ y (- y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes86.0ms

Accuracy

-12.6% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.1b

bsearch23.0ms

Steps

Iters	Range		Point
8	-5.417466375154916e+71	-4.892093976664808e+67	-1.5669822733451465e+71

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	21	7
2	21	7

end0.0ms

sample457.0ms

Algorithm

intervals

Results

193.0ms

9659×

body

valid